He also comments that in this point, the curse includes the fact that human parents have a more difficult job rearing children than any other living creature. Likewise, he explains, the curse of childbirth entailed an extended period, unlike before the sin, where the baby was born immediately after the intimacy - and so it will be once again in the days of Mashi'ach, as the Gemara states in Shabbos (30b).

2)

In what way will Adam govern Chavah, when she has a desire for him?

1.

Rashi: Despite a woman's strong desire for her husband, she will not have the guts to request intimacy; that will be in his domain.
1

2.

Ramban: The Torah is referring to the fact that a woman's powerful desire for intimacy overrides the pain of pregnancy and causes her to be subservient to him like a slave to his master - and it is unnatural for a slave to willingly acquire a master over himself.
2

3.

Targum Yonasan: He will govern her to merit and to sin (as he wishes).
3

Moshav Zekenim (ibid.): Hashem commanded all of Adam's limbs, so she was included.

3.

Riva: She is included in "Adam", for it says "va'Yikra Es Shemam Adam."

4.

Riva: "Va'Ytzav... Al ha'Adam", and not 'Es ha'Adam' includes everything that comes from Adam.

4)

Why are her curses in this order?

1.

Hadar Zekenim , Da'as Zekenim : She will have pain of work. Lest she say "I have slaves", she will have pregnancy. Lest she say "I will have easy births", she will give birth in pain. Lest she say "I will guard myself [from pregnancy]", she will desire her husband. Lest she say "I will control my desire", her husband will rule over her.